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math.PR2026
Fast Mixing for Low-Temperature Potts Models via Poisson Trees
Zongchen Chen, Andreas Galanis, Leslie Ann Goldberg +3
The -state ferromagnetic Potts model on a graph is a probability distribution on all -colourings of that favours many monochromatic edges. Approximate sampling from t…
math.PR2026
Logarithmic Mixing of Random Walks on Dynamical Random Cluster Models
Andreas Galanis, Leslie Ann Goldberg, Xandru Mifsud
We study random walks on dynamically evolving graphs, where the environment is given by a time-dependent subset of the edges of an underlying graph. Concretely, following the recen…